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Finding the Fourth Proportional to 939.16, 1,408.74 and 506.44

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Solution

The fourth proportional to 939.16, 1,408.74 and 506.44 is: 759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.16 : 1,408.74 = 506.44 : x
  2. Step 2: Convert to fraction form
    939.16/1,408.74 = 506.44/x
  3. Step 3: Cross multiply
    939.16x = 1,408.74 × 506.44
  4. Step 4: Simplify right side
    939.16x = 713,442.29
  5. Step 5: Solve for x
    x = 713,442.29/939.16
  6. Step 6: Final answer
    x = 759.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.